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Finding the Fourth Proportional to 205,959, 284,227.74 and 116,535

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Solution

The fourth proportional to 205,959, 284,227.74 and 116,535 is: 160,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,959 : 284,227.74 = 116,535 : x
  2. Step 2: Convert to fraction form
    205,959/284,227.74 = 116,535/x
  3. Step 3: Cross multiply
    205,959x = 284,227.74 × 116,535
  4. Step 4: Simplify right side
    205,959x = 33,122,479,680.90
  5. Step 5: Solve for x
    x = 33,122,479,680.90/205,959
  6. Step 6: Final answer
    x = 160,820.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.